111066714336 has 96 divisors (see below), whose sum is σ = 308591337600. Its totient is φ = 34879818240.

The previous prime is 111066714287. The next prime is 111066714371. The reversal of 111066714336 is 633417660111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×111066714336³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111066714294 and 111066714303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161935 + ... + 498353.

It is an arithmetic number, because the mean of its divisors is an integer number (3214493100).

Almost surely, 2^111066714336 is an apocalyptic number.

111066714336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111066714336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154295668800).

111066714336 is an abundant number, since it is smaller than the sum of its proper divisors (197524623264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111066714336 is a wasteful number, since it uses less digits than its factorization.

111066714336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336632 (or 336624 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 111066714336 in words is "one hundred eleven billion, sixty-six million, seven hundred fourteen thousand, three hundred thirty-six".